Final answer:
When considering that yards vary directly as feet and 2 feet represent 30 yards, we determine that 3 feet represent 45 yards by setting up a direct variation proportion.
Explanation:
In the problem where yards vary directly as feet, we are given that 2 feet represent 30 yards. To find out how many yards represent 3 feet, we need to set up a proportion based on the given information that 1 yard equals 3 feet. Using the direct variation, we can create the equation: 2 feet / 30 yards = 3 feet / x yards, where x represents the unknown number of yards.
If we simplify the first ratio, 2 feet is to 30 yards as 1 foot is to 15 yards, since dividing both sides by 2 gives us: 1 foot / 15 yards. Therefore, we can continue the proportion as: 1 foot / 15 yards = 3 feet / x yards.
Now, let's solve for x by multiplying both sides of the equation by the denominator on the right side (x yards) to eliminate the fraction: 1 foot / 15 yards = 3/x, which simplifies to x = 3 * 15. After performing the multiplication, we get x = 45 yards. Therefore, 3 feet represent 45 yards on the drawing scale.
Enter an equation that can be used to find x. (Picture below)
The equation ____ can be used to find x.
(2x+1)+89=180. 180 is the angle of a straight line. Set your two known sides equal to 180 and solve for x if needed.
A box of 20 dictionaries costs $84. An individual dictionary costs $5. You need at least 55 dictionaries. Find the price of each combination of items.
55/20=2 as qutiont and 15 as remainder
2X84=168
15X5=75
answer=243
find the quotient and remainder. Please select the vest abswer from the answer choices
Answer:
Quotient = x^4 + x^3 + x^2 + x + 1
Remainder = 0
Step-by-step explanation:
(x^5 +1) is divided by (x - 1) as shown below:
(x^5 +1) / (x - 1)
where x^5 is divided by (x - 1) when multiplied by x^4 (quotient) to give x^4 - 1.
Now x^4 - 1 is divided by is divided by (x - 1) when multiplied by x^3 (quotient) to give x^3 - 1.
Then again x^3 - 1 is divided by (x - 1) when multiplied with x^2 (quotient) to give x^2 -1.
x^2 - 1 is divided by (x - 1) when multiplied by x to give (x - 1).
Lastly, (x - 1) is divided by (x - 1) when multiplied by 1 to cancel the terms with remainder 0.
Picture of an inequality word problem. It says the answer is between 2 and 5 hours but I have no idea how to get that answer. Please help me with how to get that answer :(
it should be about 4-5 hours because her mom sleeps half the time that Mei sleeps!! you are welcome!
***PLEASE HELP WILL GIVE BRAINLIEST!!!***
If DG equals 88, DO = 5x+12 and OG =2x, find DO
.______________.________.
D O G
in the number line, the end points are DG, and the point in between is O
DG = 88
DO = 5x + 12
OG = 2x
Set the equation. The two parts (DO & OG) are equal to the whole (DG)
2x + 5x + 12 = 88
Simplify. Combine like terms
(2x + 5x) + 12 = 88
7x + 12 = 88
Isolate the x. Remember to do the opposite of PEMDAS. Subtract 12 from both sides
7x + 12 (-12) = 88 (-12)
7x = 76
Isolate the x. Divide 7 from both sides:
7x/7 = 76/7
x = 76/7
----------------------------------------------------------------------------------------------------------------------------
Find DO. Plug in "76/7" for x:
DO = 5x + 12
DO = 5(76/7) + 12
Simplify. Remember to follow PEMDAS. Multiply 76 with 5
DO = 380/7 + 12
Next, divide 380 with 7
DO = 54.29 (rounded)
Finally, add
DO = 54.29 + 12
DO = 66.29
66.29 is your answer
hope this helps
10 rubber stamps cost $10.30. What is the cost for 2 rubber stamps?
Answer:
2.06
Step-by-step explanation:
you should divide the 10.30 dollars by 10 which wlll give you the answer of one of them then you just multiply what you got by 2 ((:
To find the cost for 2 rubber stamps from the given information about 10 rubber stamps costing $10.30, the cost for 2 stamps is $2.06.
The cost for 10 rubber stamps is $10.30. To find the cost for 2 rubber stamps, we need to calculate the cost per rubber stamp and then multiply it by 2.
Cost per rubber stamp = Total cost / Number of rubber stamps = [tex]\frac{10.30}{10} = 1.03[/tex]
Cost for 2 rubber stamps = $1.03 per rubber stamp [tex]\times[/tex] 2 rubber stamps = $2.06
The product of two numbers is 40. If one of the numbers is 8/15, what is the other number?
When the product of two numbers is 40 and one of the numbers is 8/15, the other number can be found by dividing 40 by 8/15, which is 937.5.
Explanation:The question is asking for the other number when the product of two numbers is 40 and one of the numbers is given as 8/15. To answer this, we need to use the concept that the product of two numbers is equal to one number multiplied by the other. Therefore, to find the missing number, we need to divide 40 (the product) by the given number (8/15).
So, the calculation will look like this: 40 ÷ (8/15) = 7500/8 = 937.5.
Thus, the other number is 937.5 .
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During a promotional event a sporting good store gave a free t-shirt every eighth customer and a free water bottle every 10th customer which customer was the first to get a free t-shirt and a free water bottle
Answer:
40th customer
Step-by-step explanation:
Given that there is a promotional event
A sporting good store gave t shirt and free water bottle.
T shirt was given to 8th customer and water bottle to every 10th customer.
For the first person who should get both, he should have number as least common multiple of 8 and 10
8 = 2x2x2
10 = 2x5
Hence least common denominator = 2x2x2x5 = 40
Thus 40th customer will be the first to get both.
PLEASE HELP ASAP
The length of a rectangle is 6m longer than its width. What are the possible widths if the area of the rectangle is at least 775cm^2?
Hey there!!
What is the area of a rectangle?
The area of a rectangle = Length × Breadth
Given :
Length is 6m longer than the width.
Hence, length = 6 + breadth
Area = ( 6 + breadth ) ( breadth )
Area = 6 breadth + breadth²
Area = 775
Hence, 775 = 6 breadth + breadth²
( Let's take the breadth as ' b ' )
775 = 6b + b²
... b² + 6b - 775 = 0
... b² - 25b + 31b - 775 = 0
... b ( b - 25 ) + 31 ( b - 25 ) = 0
... ( b + 31 ) ( b -25 ) = 0
There are two solutions found :
b + 31 = 0 and b - 25 = 0
Hence,
b = -31 and b = 25
As the values can not be in negatives, we take 25
Hence, the value of the breadth is 25.
Length = 6 + b
Length = 31
Hence, the value of the length = 31
Hope my answer helps!!
please help on this one?
I think it is B. If you drew a graph of this and the x axis was time and the y axis is the enrollment then you would get 3 different x values and 1 y value. That's still a function. I've drawn it below.
Martina works mowing lawns and babysitting. She earns 7.90 for mowing lawns and 6.90 for babysitting. How much will she earn for 7 hours of mowing and 1 hour of babystting
mowing lawns: 7 * $7.90 = $55.30
+ babysitting: 1 * $6.90 = $ 6.90
$62.20
Answer: $62.20
Find the product of (3x+7y)^2
A) 9x^2 - 42xy + 49y^2
B) 9x^2 - 49y^2
C) 9x^2 + 49y^2
D) 9x^2+42xy+49y^2
Answer:
9x^2 − 42xy + 49y^2
Step-by-step explanation:
The product of [tex](3x + 7y)^2[/tex] is: D)[tex]9x^2 + 42xy + 49y^2[/tex]
How to find the productsThe product of (3x + 7y)^2 can be found using the formula for squaring a binomial:
(3x + 7y)^2 = (3x + 7y)(3x + 7y)
To calculate this product, you can use the distributive property (FOIL method):
(3x + 7y)(3x + 7y) = (3x * 3x) + (3x * 7y) + (7y * 3x) + (7y * 7y)
Now, simplify each term:
(9x^2) + (21xy) + (21xy) + (49y^2)
Combine like terms:
9x^2 + 42xy + 49y^2
So, the product of [tex](3x + 7y)^2[/tex] is:
D)[tex]9x^2 + 42xy + 49y^2[/tex]
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Her goal was to rased 5000 dollers to help protect the manites she rased 3500 what persent of the goal did she rase
Jim has answered 7 e-mails this is 35% of the e-mails he must answer how many emails does he need to answer?
Answer: He needs to answer 20 emails.
Step-by-step explanation:
Given : Jim has answered 7 e-mails . (1)
This is 35% of the e-mails he must answer .
We can write 35% as 0.35.
Let x be the number of emails he need to answer.
Then, Number of mails he has answered = 0.35x (2)
From (1) and (2), we have
[tex]0.35=7\\\\\Rightarrow\ x=\dfrac{7}{0.35}=\dfrac{700}{35}=20[/tex]
Hence, he needs to answer 20 emails.
WILL GIVE BRAINLIEST
Marty ran 4 miles more than Shana ran. Write an expression for how far Shana ran using Marty’s variable “m”
Explain what the 4 inequality signs represent in your own words
The expression would be m - 4 because if Marty ran 4 more miles than Shana, that means that Shana ran 4 less miles than Marty.
The four inequalities are less than, less than or equal to, greater than, and greater than or equal to. Less than means that a number is less than the other number. For example, if you say 4 is less than 7 it is because 4 is less than 7 by 3 which makes 7 value more than 4. For less than or equal to, it means that the number or variable is less than or the same number as the other number. For example, if you say x is less than or equal to 9, that means that x is less than 9 or equal to 9. For greater than, it means that the variable is greater than the other number. For example, if x if greater than 10 than the variable has to be greater than 10 or 11 and so on. For greater than or equal to, it means that the variable is greater than the other number or equal to that number. For example, if x is greater than or equal to 12, then x is greater than 12 or 13 and up or x is equal to 12 or x is 12.
Complete the two column proof
a. is Substitution Property
b. might be definition of supplementary angles
Answer:
B is the sum of adjacent angles is 180 degrees
Step-by-step explanation:
It is showing you that m∠3 and m∠4 "=" 180
Help With Proving Theorems
20 POINTS
1. If two vertical angles are supplementary, what is the measure of each angle?
Remember that when two angles are vertical angles, their angle measurements are the same, as the angles are congruent.
Note the Vertical Angle Theorem. Angles vertically opposite (directly opposite) when two lines intersect are congruent with each other.
Now note that supplementary means 180°
Set the equation. Let the angles = x
2x = 180
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 2 from both sides
(2x)/2 = (180)/2
x = 180/2
x = 90
90° is the measurement of each angle.
~Rise Above the Ordinary
Solve the system equation.
Answer:
A) (0, 2)
Step-by-step explanation:
Rewriting the second equation to the same form as the first, it becomes
... 1/2y = x + 1
... y = 2x + 2
Now, it is clear that both equations have the same y-intercept at y=2, so that is the solution.
... (x, y) = (0, 2)
Multiply. (7x-4)(4x-3)
Your answer is 28x^2-37x+12
1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd
28x^2-21x-16x+12
2) Collect like terms
28x^2+(-21-16x)+12
3) Simplify
28x^2-37x+12
Use FOIL
28x-21x-16x+12
-9x+12
Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87. She paid a total of what dollars for the two pairs of shoes.
Answer:
13.33
Step-by-step explanation:
When evaluating a complex expression which of the following rules should be followed
A - Evaluate from left to right
B - Evaluate from right to left
C- Evaluate using order of operations
D- Evaluate in any order
c : evaluate using order of operations ( pemdas )
Option: C is the correct answer.
C- Evaluate using order of operations
Step-by-step explanation:We know that while solving a algebraic expression we must follow the rule:
PEMDAS
whose full form is:
Parenthesis , Exponents,Multiplication division addition and subtraction.
This means that parenthesis is to be solved first then the preference is given to the exponent, then division and multiplication are treated at the same level and the last preferred operation is addition and subtraction.
Hence, the correct answer is:
Option: C
Which of the following is the correct expansion of (x - 2)(x - 5)?
x2 + 7x + 10
x2 + 7x - 10
x2 - 7x - 10
x2 - 7x + 10
Use distributive property:
(a + b)(c + d) = ac + ad + bc + bd
(x - 2)(x - 5) = (x)(x) + (x)(-5) + (-2)(x) + (-2)(-5) = x² - 5x - 2x + 10
Answer: (x - 2)(x - 5) = x² - 7x + 10Denzel can mow 1/8 of his yard every 7 minutes. If he had 40 minutes to mow 3/4 of the yard, will he have enough time
Answer:
No. He is short by 2 minutes
Step-by-step explanation:
Given that Denzel can mow 1/8 of his yard every 7 minutes.
Hence he can mow the full yard in 7(8) = 56 minutes.
Now he has to do 3/4 of his yard and time is 40 minutes
For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.
If he had 40 minutes to mow 3/4 of the yard, he will not have enough time since he is short of time by 2 minutes.
The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .
What is the probability of drawing a second orange ball, given that the first ball is orange?
1/7
11/75
2/7
1/6
Answer:
answer is 1/7
Step-by-step explanation:
Given that there were some orange balls in a bag.
The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .
We have to find out the probability of drawing a second orange ball, given that the first ball is orange
Let A - I ball orange
B = II ball orange
Then P(AB) = 1/35 (given)
P(A) = 1/5 (given)
The probability of drawing a second orange ball, given that the first ball is orange = P(B/A)
=P(AB)/P(A)
= 1/35 divided by 1/5
= 1/7
answer is 1/7
Answer: 1/7
Step-by-step explanation:
Geometry help , only answer if your sure please. The question is in the attached
Your answer would be D, The translation doesn't change the size or shape. Just location.
Hope this helped.
mary pitches a ball. the initial height is 8 ft and velocity 80 ft per second. when will the ball hit the ground?
Initial velocity of the ball (u) = 80 ft/ sec
Final velocity of the ball after reaching the ground (v) = 0
Distance covered by the ball to reach the ground (s) = 8 ft
Let "a" be the acceleration of the ball.
We know, [tex]2as=v^{2}-u^{2}[/tex]
[tex]2a(8)=0-80^{2}=-6400[/tex]
[tex]a=-\frac{6400}{16}[/tex]
[tex]a=-400ft/s^{2}[/tex]
Let "t" be the time required to reach the ground.
We know,
[tex]v=u+at[/tex]
[tex]t=\frac{v-u}{a}[/tex]
[tex]t=\frac{0-80}{-400}[/tex]
[tex]t=0.2s[/tex]
The ball will hit the ground in 0.2 second.
Can someone please help me?
The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I?
Can someone help me please?
Answer:
i think that the best answer to the question is b
Step-by-step explanation:
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
A.
x2 + y2 − 4x + 2y + 1 = 0
B.
x2 + y2 + 4x − 2y + 1 = 0
C.
x2 + y2 + 4x − 2y + 9 = 0
D.
x2 − y2 + 2x + y + 1 = 0
Answer:
B. x² + y² + 4x − 2y + 1 = 0Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the center (-2, 1) → h = -2 and k = 1.
The radius is the distance between the center and the given point.
Therefore put the coordinates of the points (-2, 1) and (-4, 1) to the formula of a distance between two points:
[tex]r=\sqrt{(-4-(-2))^2+(1-1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4}=2[/tex]
We have the equation in standard form:
[tex](x-(-2))^2+(y-1)^2=2^2\\\\(x+2)^2+(y-1)^2=4[/tex]
Convert to the genereal form using:
[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\\\\x^2+y^2+4x-2y+5=4\qquad\text{subtract 4 from both sides}\\\\\boxed{x^2+y^2+4x-2y+1=0}\to\boxed{B.}[/tex]
An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble that is red or white? (b) What is the probability of drawing a marble that is neither red nor white? (c) What is the probability of drawing a pair of marbles, one red and one white at the same time? (d) What is the probability of drawing a pair of marbles, one blue and one orange at the same time?
Answer:
a) 0.70
b) 0.30
c) 12/45 =4/15
d) 2/45
Step-by-step explanation:
a) Prob of drawing a marble red or white = No of red and white marbles/total marbles
= 7/10 = 0.70
b) Prob of drawing a marble neither red nor white = 1-7/10 = 0.30
c) Prob of drawing two marble one red and one white at the same time
= [tex]\frac{4C1 (3C1}{10C2 } =\frac{12}{45}[/tex]
d) Prob of drawing two marble one blue and orange white at the same time
= [tex]\frac{2C1 (1C1}{10C2 } =\frac{2}{45}[/tex]